Application of the Abelian functions to isoenergy surface description

Abstract:
The isoenergy surface building of the complicated Hamiltonian multiparticle crystalline system is proposed on the base of finite-gap Abelian functions. One is based on the analytic extension of a limiting wide-gap spectrum on the arbitrary gap region with help of the finite-gap functions. The particular case of fcc crystal symmetry is considered in an one-gap approximation.